Efficient iterative methods for multi-frequency wave propagation problems

A comparison study

Conference paper (2017)

Authors

M.M. Baumann Numerical Analysis - EEMCS
M.B. van Gijzen Numerical Analysis - EEMCS
Research Group
Numerical Analysis (EEMCS) (TU Delft)
Copyright: © 2017 M.M. Baumann, M.B. van Gijzen
Time-harmonic elastic wave equation Global GMRES Multi-shift GMRES Shifted Neumann preconditioner Nested multi-shift Krylov methods
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Published Date

2017

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Numerical Analysis

Abstract

In this paper we present a comparison study for three different iterative Krylov methods that we have recently developed for the simultaneous numerical solution of wave propagation problems at multiple frequencies. The three approaches have in common that they require the application of a single shift-and-invert preconditioner at a suitable seed frequency. The focus of the present work, however, lies on the performance of the respective iterative method. We conclude with numerical examples that provide guidance concerning the suitability of the three methods.